Day 2 Practice - Probability

A pair of dice is rolled. Two possible events are rolling a number greater than 8 and rolling an even number. Are these two events mutually exclusive events?

• Yes

• No

A pair of dice is rolled. Two possible events are rolling a number less than 5 and rolling a number which is a multiple of 5. Are these two events mutually exclusive?

• Yes

• No

A pair of dice is rolled. A possible event is rolling a multiple of 5. What is the probability of the complement of this event?

• 2/36

• 12/36

• 29/36

• 32/36

A pair of dice is rolled. Two possible events are rolling a number which is a multiple of 3 and rolling a number which is a multiple of 5. Are these two events mutually exclusive?

• Yes

• No

A pair of dice is rolled and the resulting number is odd. Which of the following events is the complement of this event?

• A number greater than 8 is rolled.

• An even number is rolled.

• A number less than 5 is rolled.

• A multiple of 5 is rolled.

A paper bag contains 15 slips of paper. Eight of them are blue and are numbered from 1 to 8. Seven of them are red and are numbered from 1 to 7. What is the probability of drawing a slip of paper with an even number?

• 8/15

• 7/15

• 6/15

• 5/15

A paper bag contains 15 slips of paper. Eight of them are blue and are numbered from 1 to 8. Seven of them are red and are numbered from 1 to 7. A slip is drawn from the bag and then replaced. A second slip is drawn. Are these two events independent?

• Yes

• No

A paper bag contains 15 slips of paper. Eight of them are blue and are numbered from 1 to 8. Seven of them are red and are numbered from 1 to 7. A possible event is that a blue slip is chosen. What is the probability of the complement of this event?

• 8/15

• 7/15

• 1/3

• 1/2

A paper bag contains 15 slips of paper. Eight of them are blue and are numbered from 1 to 8. Seven of them are red and are numbered from 1 to 7. You wish to draw a blue slip on the first draw and a red slip on the second draw. The first slip is NOT replaced after being drawn. Are these events independent?

• Yes

• No

Juan spins the spinner shown. He notes the area on which the arrow stops, and then spins it a second time. Find the probability that the outcome of the two spins is red both times.

• 1/2 x 1/2 = 1/4

• 1/4 x 1/4 = 1/16

• 1/4 x 1/2 = 1/8

• 3/4 x 3/4 = 9/16